Question

First derivative of y= 10^cos3x

Answer 1

\[y= 10^{\cos3x}\]

Answer 2

Show your best guess and we'll help you. =)

Answer 3

my answer was - 30 cos 3x

Answer 4

it was wrong..

Answer 5

wonr, its -30sin3x.

Answer 6

yep it's wrong

Answer 7

You can rewrite it like this:
\[y=e^{\ln10*\cos3x}\]
I think it makes it easier to think about when it's like this.

Answer 8

the derivative of
\[a ^{u} = u \prime \times a ^{u} \times lna\]

Answer 9

@silverxx can u try to solve it ?

Answer 10

-3 sin3x (10) ?

Answer 11

nope

Answer 12

really have no idea ;(

Answer 13

You need to use the chain rule here.

Answer 14

listen the derivative of a^u=u′×a^u×lna
u have 10^cos3x
u′=-3sin3x
a^u=10^cos3x
lna=ln10
so the derivative of 10^cos3x=-3sin3x*10^cos3x*ln10

Answer 15

is it.. cos 3x [ (10) (-3sin3x)]?

Answer 16

it's \[-3\sin3x \times10^{\cos3x}\times \ln 10\]

Answer 17

@silverxx

Answer 18

got it ?

Answer 19

woah. tsk. Thank you so much!! again.

Answer 20

Anytime. :D